Boundedness of composition operators in Orlicz-Morrey spaces

Abstract In this paper, we investigate necessary and sufficient conditions on the boundedness of composition operators on the Orlicz-Morrey spaces. The results of boundedness include Lebesgue and generalized Morrey spaces as special cases. Further, we characterize the boundedness of composition operators on the weak Orlicz-Morrey spaces. The weak Orlicz-Morrey spaces contain the Orlicz-Morrey spaces. 2020 Mathematics Subject Classification. 46E30, 42B35, 42B20, 42B25.